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Goodwill and Other Intangible Assets - Other Intangible Assets by Major Class (Detail) (USD $) In Millions, unless otherwise specified	Apr. 04, 2015	Jan. 03, 2015
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	$ 349.1us-gaap_FiniteLivedIntangibleAssetsGross	$ 347.9us-gaap_FiniteLivedIntangibleAssetsGross
Non-amortized trademarks	59.5us-gaap_IndefiniteLivedTrademarks	61.6us-gaap_IndefiniteLivedTrademarks
Total other intangible assets	408.6us-gaap_IntangibleAssetsGrossExcludingGoodwill	409.5us-gaap_IntangibleAssetsGrossExcludingGoodwill
Accumulated Amortization, Total	(209.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization	(206.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Total other intangible assets	(209.8)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill	(206.2)sna_IntangibleAssetsAccumulatedAmortizationExcludingGoodwill
Customer relationships [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	146.1us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember	147.1us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember
Accumulated Amortization, Total	(72.9)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember	(71.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_CustomerRelationshipsMember
Developed technology [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	18.3us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember	19.2us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember
Accumulated Amortization, Total	(18.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember	(19.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_DevelopedTechnologyRightsMember
Internally developed software [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	145.8us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember	142.2us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember
Accumulated Amortization, Total	(95.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember	(92.0)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_InternallyDevelopedSoftwareMember
Patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	28.9us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember	29.3us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember
Accumulated Amortization, Total	(20.1)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember	(20.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_PatentsMember
Trademarks [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	2.4us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember	2.5us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember
Accumulated Amortization, Total	(1.5)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember	(1.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = us-gaap_TrademarksMember
Other [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying value, Total	7.6us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember	7.6us-gaap_FiniteLivedIntangibleAssetsGross / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember
Accumulated Amortization, Total	$ (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember	$ (1.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization / us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis = sna_OtherFiniteLivedIntangibleAssetsMember

X

- Definition

Intangible assets, accumulated amortization (excluding goodwill).

+ References

No definition available.

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- Definition

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 350

-SubTopic 30

-Section 50

-Paragraph 2

-Subparagraph (a)(1)

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- Definition

Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 350

-SubTopic 30

-Section 50

-Paragraph 2

-Subparagraph (a)(1)

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- Definition

Carrying amount (original costs adjusted for previously recognized amortization and impairment) as of the balance sheet date for the rights acquired through registration of a trademark to gain or protect exclusive use of a business name, symbol or other device or style for a projected indefinite period of benefit.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 350

-SubTopic 30

-Section 50

-Paragraph 2

-Subparagraph (b)

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- Definition

Amount before accumulated amortization of intangible assets, excluding goodwill.

+ References

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